Literaturnachweis - Detailanzeige
Autor/in | Cid, Jose Angel |
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Titel | A Simple Method to Find out when an Ordinary Differential Equation Is Separable |
Quelle | In: International Journal of Mathematical Education in Science and Technology, 40 (2009) 5, S.659-662 (4 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0020-739X |
Schlagwörter | Problem Solving; Mathematical Logic; Validity; Mathematics Instruction; Equations (Mathematics); Teaching Methods |
Abstract | We present an alternative method to that of Scott (D. Scott, "When is an ordinary differential equation separable?", "Amer. Math. Monthly" 92 (1985), pp. 422-423) to teach the students how to discover whether a differential equation y[prime] = f(x,y) is separable or not when the nonlinearity f(x, y) is not explicitly factorized. Our approach is completely elementary and provides a necessary and sufficient condition for separability, as well as simple formulas for the explicit factors of f(x, y). (As Provided). |
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Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |